Graphing Parabolas Worksheet

A Grade 12 math worksheet on graphing parabolas, covering standard form, vertex form, and intercepts.

Grade 12 Math AlgebraGraphing Parabolas

Use This Worksheet

Includes

2 Short Answer2 CustomFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSF.IF.C.7.ACCSS.MATH.CONTENT.HSF.BF.B.3

Topics

parabolaquadraticgraphingalgebragrade 12

9 sections · Free to use · Printable

Graphing Parabolas

Name:

Date:

Score:

Read each question carefully and follow the instructions to graph the parabolas and determine their properties.

1. For the parabola given by the equation y = 2(x - 3)² + 1, identify the vertex, axis of symmetry, and direction of opening.

2. Graph the parabola defined by y = x² - 4x + 3. Label the vertex and x-intercepts.

3. The standard form of a quadratic equation is y = ax² + bx + c. The vertex of the parabola can be found using the formula x = and y = .

4. Which of the following equations represents a parabola that opens downwards?

y = 3x² + 2x - 1

y = -x² + 5x + 4

y = (x - 2)² + 3

y = 0.5x² - 6

5. Determine the x-intercepts and y-intercept of the parabola y = x² + 2x - 8.

6. The axis of symmetry for the parabola y = a(x - h)² + k is x = k.

True

False

7. Sketch the parabola y = -(x + 1)² + 4. Show the vertex, axis of symmetry, and two other points.

This worksheet focuses on identifying, factoring, and constructing perfect square trinomials, essential skills for Grade 12 Algebra.

This worksheet focuses on solving square root equations, including identifying extraneous solutions, for Grade 12 Algebra students.

Grade 12 math worksheet on determining polynomial functions given their graphs, focusing on roots, multiplicity, and end behavior.

Grade 12 math worksheet on combining polynomials, including addition, subtraction, multiplication, and division.

Explore linear equations that result in infinite solutions (identities) or no solutions (contradictions) at a Grade 12 level.

This worksheet focuses on rearranging complex algebraic equations to solve for specific variables, suitable for Grade 12 mathematics.

This worksheet focuses on rearranging complex algebraic equations to solve for specific variables, suitable for Grade 12 mathematics.

A Grade 12 mathematics worksheet focusing on direct variation, including identifying direct variation, writing equations, and solving problems.